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Finding the Fourth Proportional to 417.94, 576.70 and 260.58

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Solution

The fourth proportional to 417.94, 576.70 and 260.58 is: 359.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.94 : 576.70 = 260.58 : x
  2. Step 2: Convert to fraction form
    417.94/576.70 = 260.58/x
  3. Step 3: Cross multiply
    417.94x = 576.70 × 260.58
  4. Step 4: Simplify right side
    417.94x = 150,276.49
  5. Step 5: Solve for x
    x = 150,276.49/417.94
  6. Step 6: Final answer
    x = 359.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.